A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 5
... circumscribing circle , they will divide the polygon into as many isosceles triangles as it has sides ; and each of these isosceles triangles will be equal to either of the others in all respects , and of course they will have the ...
... circumscribing circle , they will divide the polygon into as many isosceles triangles as it has sides ; and each of these isosceles triangles will be equal to either of the others in all respects , and of course they will have the ...
Page 6
... circumscribed about the circle EFGH ; and let this polygon be divided into triangles , by lines drawn from its ... circumscribing the circle , will be equal to the rectangle of the radius of the circle and half the perimeter of the ...
... circumscribed about the circle EFGH ; and let this polygon be divided into triangles , by lines drawn from its ... circumscribing the circle , will be equal to the rectangle of the radius of the circle and half the perimeter of the ...
Page 7
... circumscribed about that circle . Let C be a circle , P a polygon isoperimetrical to that circle , and ... circumscribed about it . Let CP , and let P ' be circumscribed about C and similar to C : then it is affirmed that cir . C : per P ...
... circumscribed about that circle . Let C be a circle , P a polygon isoperimetrical to that circle , and ... circumscribed about it . Let CP , and let P ' be circumscribed about C and similar to C : then it is affirmed that cir . C : per P ...
Page 8
... circumscribed about one and the same circle . And that the perimeters of equal rectilineal figures , each circumscribable about a circle , are respectively in the subduplicate ratio of the perimeters , or of the surfaces , of figures ...
... circumscribed about one and the same circle . And that the perimeters of equal rectilineal figures , each circumscribable about a circle , are respectively in the subduplicate ratio of the perimeters , or of the surfaces , of figures ...
Page 9
... circumscribed about any proposed circle , become smaller as the number of their sides becomes greater . THEOREM XVI . The surfaces of regular isoperimetrical figures are greater as the number of their sides is greater : and the ...
... circumscribed about any proposed circle , become smaller as the number of their sides becomes greater . THEOREM XVI . The surfaces of regular isoperimetrical figures are greater as the number of their sides is greater : and the ...
Other editions - View all
A Course of Mathematics: For the Use of Academies ... as Well as Private Tuition Charles Hutton No preview available - 2015 |
A Course of Mathematics: For the Use of Academies ... As Well As Private Tuition Charles Hutton No preview available - 2022 |
A Course of Mathematics: For the Use of Academies, as Well as Private Tuition Charles Hutton No preview available - 2015 |
Common terms and phrases
abscisses altitude asymptotes Ax² axis ball base becomes bisected body Ca² centre of gravity chord circle circumscribed co-ordinates coefficients cone conic section conjugate conjugate hyperbolas consequently Corol cosec cosine curve denoted determine diameter difference differential direction distance divided draw drawn ellipse equal equation equilibrium expression feet figure find the fluent fluid fluxion force function Geom given Hence horizontal hyperbola inches intersection length logarithm motion ordinate parabola parallel parallelogram pendulum perpendicular plane polygon pressure produced PROP proportional quantity radius ratio rectangle respectively right angles SCHOLIUM sides similar triangles sine solid angles specific gravity sphere spherical triangle square Suppose surface tangent theor theorem transverse trigonometrical variable velocity vertex vertical weight whence